642322560 has 256 divisors, whose sum is σ = 2366236800. Its totient is φ = 146472960.

The previous prime is 642322487. The next prime is 642322567. The reversal of 642322560 is 65223246.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (642322567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358146 + ... + 359934.

Almost surely, 2^642322560 is an apocalyptic number.

642322560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183118400).

642322560 is an abundant number, since it is smaller than the sum of its proper divisors (1723914240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642322560 is a wasteful number, since it uses less digits than its factorization.

642322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 642322560 is about 25344.0833331963. The cubic root of 642322560 is about 862.8150766529.

The spelling of 642322560 in words is "six hundred forty-two million, three hundred twenty-two thousand, five hundred sixty".